# Find the equation of the line that passes through (9,1) and is perpendicular to the line that passes through the following points: (7,−3),(6,3)

Find the equation of the line that passes through (9,1) and is perpendicular to the line that passes through the following points: (7,−3),(6,3)
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

The slope of the line passing through (7,-3) , (6,3) is $\frac{3+3}{6-7}=-6$
So the slope of the perpendicular line passing through (9,1) is $\frac{1}{6}$ since the product of slopes of perpendicular lines is -1. Hence the equation of the line passes through (9,1) is $y-1=\frac{1}{6}\left(x-9\right)$ or $y=\frac{1}{6}\cdot x-\frac{1}{2}$